Welcome to EPsy 8264: Advanced Multiple Regression Analysis. This is an advanced seminar for doctoral students in education. The pre-requisites for this course are EPsy 8251 and EPsy 8252.
Andrew Zieffler (zief0002@umn.edu)
Virtual Office: Zoom
Office Hours: Wednesday 9:00 AM–10:00 AM; and by appointment
Vimal Rao (rao00013@umn.edu)
Virtual Office: Zoom
Office Hours: Tuesday 5:30 PM–6:30 PM; and by appointment
The course textbooks are available via the University of Minnesota library (Fox) and online (Grolemund & Wickham).
Prerequisite knowledge include topics from a basic statistics course:
And, topics from EPsy 8251: Methods in Data Analysis for Educational Research I:
And topics from EPsy 8252: Methods in Data Analysis for Educational Research II:
For the topics listed, students would be expected to be able to carry out an appropriate data analysis and properly interpret the results. It is also assumed that everyone enrolled in the course has some familiarity with using R. If you need a refresher on any of these topics, see:
Below is the tentative schedule for the class. The dates are subject to change at the instructor’s discretion.
| Date | Topic | |
|---|---|---|
| Sept. 08 | Welcome to EPsy 8264 | |
| Unit 01: Mathematics | ||
| Sept. 10 | A Bit of Linear Algebra | |
| Sept. 15 | Some Vector Geometry | |
| Sept. 17 | Regression using Matrices | |
| Sept. 22 | ||
| Sept. 24 | Matrix Decomposition | |
| Sept. 29 | ||
| Unit 02: Regression Diagnostics | ||
| Oct. 01 | Regression Diagnostics | |
| Oct. 06 | ||
| Unit 03: Dealing with Heteroskedasticity | ||
| Oct. 08 | Variance Stabilizing Transformations | |
| Oct. 13 | Weighted Least Squares (WLS) and Sandwich Estimation | |
| Unit 04: Dealing with Collinearity | ||
| Oct. 15 | Collinearity Diagnostics | |
| Oct. 20 | Variable reduction | |
| Oct. 22 | ||
| Oct. 27 | Biased Estimation and Shrinkage | |
| Oct. 29 | ||
| Unit 05: Model Selection | ||
| Nov. 03 | NO CLASS— Election Day | |
| Nov. 05 | Traditional Methods of Model Selection | |
| Nov. 12 | Cross-Validation | |
| Nov. 17 | ||
| Unit 06: Piecewise Modeling | ||
| Nov. 24 | Piecewise Regression | |
| Nov. 26 | NO CLASS—Thanksgiving Break | |
| Dec. 01 | Piecewise Regression | |
| Dec. 03 | Spline Models | |
| Dec. 08 | ||
| Dec. 10 | ||
| Dec. 15 | TBA | |
Below are the due dates for the assignments, as well as links to the PDF file for each assignment. The due dates may change at the instructor’s discretion. Any revised due dates will be announced in class and posted to the website.
Below are the links to the data sets and data codebooks used in the notes, scripts, and assignments.
Prior to class:
After class:
In this unit we will learn some of the basic linear/matrix algebra that is useful for regression analyses.
Prior to Class:
In Class
Additional Resources
In this unit we will look at some of the geometric ideas underlying vectors that are useful for regression analyses.
Prior to Class:
In Class
Additional Resources
In this unit we will learn some of the basic linear/matrix algebra that is useful for regression analyses.
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources
Prior to Class:
In Class
Additional Resources